729268800 has 504 divisors, whose sum is σ = 2766608640. Its totient is φ = 167731200.

The previous prime is 729268789. The next prime is 729268823. The reversal of 729268800 is 8862927.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23524785 + ... + 23524815.

Almost surely, 2^729268800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383304320).

729268800 is an abundant number, since it is smaller than the sum of its proper divisors (2037339840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729268800 is a wasteful number, since it uses less digits than its factorization.

729268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 729268800 is about 27004.9773190055. The cubic root of 729268800 is about 900.1106036910.

The spelling of 729268800 in words is "seven hundred twenty-nine million, two hundred sixty-eight thousand, eight hundred".